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Finding the Fourth Proportional to 14,589.60, 20,133.73 and 8,301.97

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Solution

The fourth proportional to 14,589.60, 20,133.73 and 8,301.97 is: 11,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.60 : 20,133.73 = 8,301.97 : x
  2. Step 2: Convert to fraction form
    14,589.60/20,133.73 = 8,301.97/x
  3. Step 3: Cross multiply
    14,589.60x = 20,133.73 × 8,301.97
  4. Step 4: Simplify right side
    14,589.60x = 167,149,622.45
  5. Step 5: Solve for x
    x = 167,149,622.45/14,589.60
  6. Step 6: Final answer
    x = 11,456.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.